Based on the recent experimental data, it is shown that both scleronomous and rheonomous effects are characteristic of the behavior of shape memory alloys (SMA). A micromechanical model of non-linear deformation of SMA during phase and (or) structure transforms and a thermodynamic closing of this model are proposed. Based on the proved postulate about the processes of proportional loading, an analogue of deformation theory of plasticity for SMA is proposed. For the description of non-monotone or non-proportional loading SMA, an analogue of plastic flow theory for SMA is presented. Various formulations of boundary and initial boundary value problems for SMA are considered. A number of solutions of these problems are described.
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